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            "title": "Maximum Area of a Piece of Cake After Horizontal and Vertical Cuts",
            "titleSlug": "maximum-area-of-a-piece-of-cake-after-horizontal-and-vertical-cuts",
            "content": "<p>You are given a rectangular cake of size <code>h x w</code> and two arrays of integers <code>horizontalCuts</code> and <code>verticalCuts</code> where:</p>\n\n<ul>\n\t<li><code>horizontalCuts[i]</code> is the distance from the top of the rectangular cake to the <code>i<sup>th</sup></code> horizontal cut and similarly, and</li>\n\t<li><code>verticalCuts[j]</code> is the distance from the left of the rectangular cake to the <code>j<sup>th</sup></code> vertical cut.</li>\n</ul>\n\n<p>Return <em>the maximum area of a piece of cake after you cut at each horizontal and vertical position provided in the arrays</em> <code>horizontalCuts</code> <em>and</em> <code>verticalCuts</code>. Since the answer can be a large number, return this <strong>modulo</strong> <code>10<sup>9</sup> + 7</code>.</p>\n\n<p>&nbsp;</p>\n<p><strong>Example 1:</strong></p>\n<img alt=\"\" src=\"https://assets.leetcode.com/uploads/2020/05/14/leetcode_max_area_2.png\" style=\"width: 225px; height: 240px;\" />\n<pre>\n<strong>Input:</strong> h = 5, w = 4, horizontalCuts = [1,2,4], verticalCuts = [1,3]\n<strong>Output:</strong> 4 \n<strong>Explanation:</strong> The figure above represents the given rectangular cake. Red lines are the horizontal and vertical cuts. After you cut the cake, the green piece of cake has the maximum area.\n</pre>\n\n<p><strong>Example 2:</strong></p>\n<img alt=\"\" src=\"https://assets.leetcode.com/uploads/2020/05/14/leetcode_max_area_3.png\" style=\"width: 225px; height: 240px;\" />\n<pre>\n<strong>Input:</strong> h = 5, w = 4, horizontalCuts = [3,1], verticalCuts = [1]\n<strong>Output:</strong> 6\n<strong>Explanation:</strong> The figure above represents the given rectangular cake. Red lines are the horizontal and vertical cuts. After you cut the cake, the green and yellow pieces of cake have the maximum area.\n</pre>\n\n<p><strong>Example 3:</strong></p>\n\n<pre>\n<strong>Input:</strong> h = 5, w = 4, horizontalCuts = [3], verticalCuts = [3]\n<strong>Output:</strong> 9\n</pre>\n\n<p>&nbsp;</p>\n<p><strong>Constraints:</strong></p>\n\n<ul>\n\t<li><code>2 &lt;= h, w &lt;= 10<sup>9</sup></code></li>\n\t<li><code>1 &lt;= horizontalCuts.length &lt;= min(h - 1, 10<sup>5</sup>)</code></li>\n\t<li><code>1 &lt;= verticalCuts.length &lt;= min(w - 1, 10<sup>5</sup>)</code></li>\n\t<li><code>1 &lt;= horizontalCuts[i] &lt; h</code></li>\n\t<li><code>1 &lt;= verticalCuts[i] &lt; w</code></li>\n\t<li>All the elements in <code>horizontalCuts</code> are distinct.</li>\n\t<li>All the elements in <code>verticalCuts</code> are distinct.</li>\n</ul>\n",
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                    "lang": "C++",
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                    "code": "class Solution {\npublic:\n    int maxArea(int h, int w, vector<int>& horizontalCuts, vector<int>& verticalCuts) {\n        \n    }\n};",
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                    "code": "class Solution {\n    public int maxArea(int h, int w, int[] horizontalCuts, int[] verticalCuts) {\n        \n    }\n}",
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                    "code": "class Solution(object):\n    def maxArea(self, h, w, horizontalCuts, verticalCuts):\n        \"\"\"\n        :type h: int\n        :type w: int\n        :type horizontalCuts: List[int]\n        :type verticalCuts: List[int]\n        :rtype: int\n        \"\"\"\n        ",
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                    "code": "class Solution:\n    def maxArea(self, h: int, w: int, horizontalCuts: List[int], verticalCuts: List[int]) -> int:\n        ",
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                    "lang": "C",
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                    "code": "\n\nint maxArea(int h, int w, int* horizontalCuts, int horizontalCutsSize, int* verticalCuts, int verticalCutsSize){\n\n}",
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                    "code": "public class Solution {\n    public int MaxArea(int h, int w, int[] horizontalCuts, int[] verticalCuts) {\n        \n    }\n}",
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                    "code": "/**\n * @param {number} h\n * @param {number} w\n * @param {number[]} horizontalCuts\n * @param {number[]} verticalCuts\n * @return {number}\n */\nvar maxArea = function(h, w, horizontalCuts, verticalCuts) {\n    \n};",
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                    "code": "# @param {Integer} h\n# @param {Integer} w\n# @param {Integer[]} horizontal_cuts\n# @param {Integer[]} vertical_cuts\n# @return {Integer}\ndef max_area(h, w, horizontal_cuts, vertical_cuts)\n    \nend",
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                    "code": "class Solution {\n    func maxArea(_ h: Int, _ w: Int, _ horizontalCuts: [Int], _ verticalCuts: [Int]) -> Int {\n        \n    }\n}",
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                    "lang": "Go",
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                    "code": "func maxArea(h int, w int, horizontalCuts []int, verticalCuts []int) int {\n    \n}",
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                    "code": "object Solution {\n    def maxArea(h: Int, w: Int, horizontalCuts: Array[Int], verticalCuts: Array[Int]): Int = {\n        \n    }\n}",
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                    "code": "class Solution {\n    fun maxArea(h: Int, w: Int, horizontalCuts: IntArray, verticalCuts: IntArray): Int {\n        \n    }\n}",
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                    "lang": "Rust",
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                    "code": "impl Solution {\n    pub fn max_area(h: i32, w: i32, horizontal_cuts: Vec<i32>, vertical_cuts: Vec<i32>) -> i32 {\n        \n    }\n}",
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                    "code": "class Solution {\n\n    /**\n     * @param Integer $h\n     * @param Integer $w\n     * @param Integer[] $horizontalCuts\n     * @param Integer[] $verticalCuts\n     * @return Integer\n     */\n    function maxArea($h, $w, $horizontalCuts, $verticalCuts) {\n        \n    }\n}",
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                    "lang": "TypeScript",
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                    "code": "function maxArea(h: number, w: number, horizontalCuts: number[], verticalCuts: number[]): number {\n\n};",
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                    "lang": "Racket",
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                    "code": "(define/contract (max-area h w horizontalCuts verticalCuts)\n  (-> exact-integer? exact-integer? (listof exact-integer?) (listof exact-integer?) exact-integer?)\n\n  )",
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                    "lang": "Erlang",
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                    "code": "-spec max_area(H :: integer(), W :: integer(), HorizontalCuts :: [integer()], VerticalCuts :: [integer()]) -> integer().\nmax_area(H, W, HorizontalCuts, VerticalCuts) ->\n  .",
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                    "code": "defmodule Solution do\n  @spec max_area(h :: integer, w :: integer, horizontal_cuts :: [integer], vertical_cuts :: [integer]) :: integer\n  def max_area(h, w, horizontal_cuts, vertical_cuts) do\n\n  end\nend",
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            "hints": [
                "Sort the arrays, then compute the maximum difference between two consecutive elements for horizontal cuts and vertical cuts.",
                "The answer is the product of these maximum values in horizontal cuts and vertical cuts."
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